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8012561441 is a prime number
BaseRepresentation
bin1110111011001010…
…11111110000100001
3202200102001021221212
413131211133300201
5112402203431231
63403024555505
7402362435303
oct73545376041
922612037855
108012561441
113441978005
121677482b95
139a9020821
14560217973
1531d67c42b
hex1dd95fc21

8012561441 has 2 divisors, whose sum is σ = 8012561442. Its totient is φ = 8012561440.

The previous prime is 8012561437. The next prime is 8012561527. The reversal of 8012561441 is 1441652108.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5245380625 + 2767180816 = 72425^2 + 52604^2 .

It is a cyclic number.

It is not a de Polignac number, because 8012561441 - 22 = 8012561437 is a prime.

It is a super-2 number, since 2×80125614412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8012561398 and 8012561407.

It is not a weakly prime, because it can be changed into another prime (8012561341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4006280720 + 4006280721.

It is an arithmetic number, because the mean of its divisors is an integer number (4006280721).

Almost surely, 28012561441 is an apocalyptic number.

It is an amenable number.

8012561441 is a deficient number, since it is larger than the sum of its proper divisors (1).

8012561441 is an equidigital number, since it uses as much as digits as its factorization.

8012561441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8012561441 is about 89512.9121467959. The cubic root of 8012561441 is about 2001.0462393462.

The spelling of 8012561441 in words is "eight billion, twelve million, five hundred sixty-one thousand, four hundred forty-one".